Representations of nilpotent groups: Extensions, neutral cohomology, and Pontryagin spaces
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Spectral criteria for the cohomological triviality of extensions of representations of connected nilpotent groups are obtained. They are applied to the study of symmetrized extensions of unitary representations by finite-dimensional representations and to the theory of J-unitary representations of groups on Pontryagin spaces.
Keywordsextension of representation Pontryagin space Engel element neutral cocycle
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- [2a]R. S. Ismagilov, English transl.: Amer. Math. Soc. Transl., II Ser., 85 (1969), 165–192.Google Scholar